%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG116+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:25:55 AM UTC 2026
% Result : Theorem 16.74s 2.55s
% Output : CNFRefutation 16.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 30 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 28 ( 12 ~; 6 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 0 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2456,hypothesis,
( xu = sdtpldt0(xk,xl)
& aElementOf0(xl,slsdtgt0(xb))
& ? [X0] :
( sdtasdt0(xb,X0) = xl
& aElement0(X0) )
& aElementOf0(xk,slsdtgt0(xa))
& ? [X0] :
( sdtasdt0(xa,X0) = xk
& aElement0(X0) ) ) ).
fof(m__,conjecture,
? [X0,X1] :
( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
& aElement0(X1)
& aElement0(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
& aElement0(X1)
& aElement0(X0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c182,plain,
aElement0(sK150),
inference(clausification,[status(esa)],[m__2456]) ).
cnf(c183,plain,
sdtasdt0(xa,sK150) = xk,
inference(clausification,[status(esa)],[m__2456]) ).
cnf(c185,plain,
aElement0(sK151),
inference(clausification,[status(esa)],[m__2456]) ).
cnf(c186,plain,
sdtasdt0(xb,sK151) = xl,
inference(clausification,[status(esa)],[m__2456]) ).
cnf(c188,plain,
xu = sdtpldt0(xk,xl),
inference(clausification,[status(esa)],[m__2456]) ).
cnf(c189,plain,
( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElement0(X0)
| ~ aElement0(sK150)
| xu != sdtpldt0(xk,sdtasdt0(xb,X0)) ),
inference(superposition,[status(thm)],[c183,c189]) ).
cnf(d1,plain,
( ~ aElement0(X0)
| xu != sdtpldt0(xk,sdtasdt0(xb,X0)) ),
inference(resolution,[status(thm)],[c182,d0]) ).
cnf(d2,plain,
( ~ aElement0(sK151)
| xu != sdtpldt0(xk,xl) ),
inference(superposition,[status(thm)],[c186,d1]) ).
cnf(d3,plain,
xu != sdtpldt0(xk,xl),
inference(resolution,[status(thm)],[c185,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG116+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 06:09:22 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.74/2.55 % SZS status Theorem for theBenchmark.p
% 16.74/2.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------